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Finding the Fourth Proportional to 437,863.89, 657,041.90 and 238,198.25

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Solution

The fourth proportional to 437,863.89, 657,041.90 and 238,198.25 is: 357,431.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,863.89 : 657,041.90 = 238,198.25 : x
  2. Step 2: Convert to fraction form
    437,863.89/657,041.90 = 238,198.25/x
  3. Step 3: Cross multiply
    437,863.89x = 657,041.90 × 238,198.25
  4. Step 4: Simplify right side
    437,863.89x = 156,506,231,208.29
  5. Step 5: Solve for x
    x = 156,506,231,208.29/437,863.89
  6. Step 6: Final answer
    x = 357,431.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.